Answer:
B
Step-by-step explanation:
1/3
The required value of a is 1/3 for parabola [tex]y = 1/3x^2[/tex].
A parabolic dish with vertex (0,0) at the center, width is 6 inches and depth is 3 inches. y = ax² where a is to be determined.
A parabola is a cross-section cut out of the cone and represented by an equation [tex]y=4ax^2[/tex].
Here,
Vertex is at the center of the parabolic plate (0,0),
with the help of the width and depth coordinate of the one corner is(3,3).
Now put these coordinates in y = ax²
3 = a3²
a = 3/3²
a = 1/3
Thus, The required value of a is 1/3 for the parabola [tex]y = 1/3x^2[/tex].
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What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
9514 1404 393
Answer:
13 units
Step-by-step explanation:
The distance is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((14 -2)² +(6 -1)²) = √(144 +25) = 13
The distance between the two points is 13 units.
A flagpole casts a shadow that is 24 ft long at the same time you cast a shadow that is
4.5 ft long. If you are 6 ft tall, how tall is the flagpole?
Answer:
32 ft tall
Step-by-step explanation:
24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32
Question 2
1 pts
Seven friends compared vacation plans. All are planning to drive to their destinations.
Find the median distance for the seven travelers.
Distance in
Friend
km
1
435
2
158
3
254
450
4
5
192
219
6
7
457
192 km
Consider a system with sampling rate 52,500 samples per second.
(a) Determinethe maximum frequency of the pre-sampled signal if the system utilizes 18% oversampling.
(b) Determine the percentage oversampling if the maximum frequency from part (a) isincreased by 10%.
Answer:
The answer is "[tex]22,246 \ H_z \ \ and \ \ 7.3\%[/tex]"
Step-by-step explanation:
The sampling rate: [tex](f_s) = 52,500 \ \frac{samples}{sec}[/tex]
In point a:
The sample signal frequency = f
They recognize that the id [tex]\geq[/tex] 2f sampling frequency could be returned to its original signal unless the aliase effect is detected elsewhere, Yet under percentage =18%
[tex]\ sampling \ rate = 2 \times 1.18 \times f[/tex]
[tex]\to f = \frac{52,500}{2 \times 1.18}\\\\[/tex]
[tex]= 22,246 \ h_z[/tex]
In point b:
Maximum 22,242 frequency is increased by [tex]10 \ \%[/tex]
[tex]f_a =22,246 \times 1.1[/tex]
[tex]= 24,470.6\\\\=24,471[/tex]
[tex]\ sampling \ rate= x \times 2 \times 24,2471 \\[/tex]
[tex]x= \frac{52,500}{48,942} \\\\x= 1.073\\\\[/tex]
over sampling percentage [tex]= 7.3 \ \%[/tex]
Find the slope of the line that passes through the points (1,-4) and (3, -1).
Answer:
use cymath it really helps with finding slopes
Step-by-step explanation:
Solve the following system of equations. x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
a. x = 1,y = 2,z = 2
b. x= 2,y = 2,z = 1
c. x = 6,y = 2,z = 1
d. x = 13,y = 11,z = -1
By substitution, we will see that the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
How to solve the system of equations?
Here we have a system of 3 equations:
x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
I will solve it by substitution, first, let's simplify the equations. Here we can divide the third equation by 4 so we remove all the common factors, then the system becomes:
x + y + 8z = 16
2x + 7z = 19
x - y + z = 1
Now, I will isolate x on the second equation:
x = (19 - 7z)/2 = (19/2) - (7/2)*z = 9.5 - 3.5*z
Now we can replace that on the other two equations:
(9.5 - 3.5*z) + y + 8z = 16
(9.5 - 3.5*z) - y + z = 1
Rewriting the system we get:
y + 4.5z = 6.5
-y - 2.5z = -8.5
Now we can isolate y on the first equation:
y = 6.5 - 4.5z
Replacing that on the other equation we get:
-( 6.5 - 4.5z) - 2.5z = -8.5
-6.5 + 4.5z - 2.5z = -8.5
2z = -8.5 + 6.5 = -2
z = -2/2 = -1
Then the value of y is:
y = 6.5 - 4.5z = 6.5 - 4.5*(-1) = 11
And the value of x is:
x = 9.5 - 3.5*z = 9.5 - 3.5*(-1) = 13
So the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
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Solve the equation Only enter the amount. Round to the nearest cent. Twenty tickets cost 182.50 What is the average cost of each ticket?
Answer:
$9.13
Step-by-step explanation:
of the 480 canned foods collected, 45% of them were canned vegetables. How many canned vegetables did the school collect last month
Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?
Answer:
1 game
15/5=3
4-3=1
Hope it helps
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Using a system of equations, it is found that Stefan won 7 games.
In our system, we have that:
x is the number of games Marion won.y is the number of games Stefan won.Marion won five times the difference between the number of games Stefan won and the number four, hence:
[tex]x = 5(y - 4)[/tex]
Marion won 15 games, hence [tex]x = 15[/tex], and:
[tex]15 = 5(y - 4)[/tex]
[tex]y - 4 = 3[/tex]
[tex]y = 7[/tex]
Stefan won 7 games.
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The results of a recent survey showed that the average cost to rent a car for a week is $276. If the standard deviation is $60,
find the Z-score for a weekly rental of $423.00?
a. 2.45
B. 4.6
C. 7.05
D. -1.88
The Z-score for a weekly rental is 2.45 which is the correct answer would be option (B).
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given the average cost to rent a car for a week is $276
And the standard deviation is $60
To determine the Z-score for a weekly rental of $423.00
Here,
ц = 276
σ = 60
X = 423
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (423 - 276)/60
⇒ z-score = 147/60
⇒ z-score = 2.45
Hence, the z-score for a weekly rental is 2.45.
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6th grade math look at the pictures
Answer:
use a calculator.
Step-by-step explanation:
Answer:
2. 17.624
3. 9.72
4. 14.3
5. 2.11
8. 5,105.16
10. 124.7
Step-by-step explanation:
David is buying a cheese wheel priced at $14 before tax. The store charges 8%, percent sales tax
THE ANSWER IS 15.12
Answer:
15.12
Step-by-step explanation:
14*1.08
15.12
a) Find the critical numbers of
f
f
(if any).
b) Find the open interval(s) on which the function is increasing/decreasing
c) Apply the First Derivative Test to identify all relative extrema
given the function f(x)= 3^ - 2 what is the value of f (3)
True or False: The Commutative Property of Addition states that for all expressions a and b , ab = ba.
According to the Commutative Property of Addition, ab = ba for all expressions a and b: FALSE
What is the Commutative Property of Addition?According to the commutative property of addition, altering the order of addends has no impact on the sum. Here's an illustration: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4. The addition and multiplication arithmetic operations are covered by the commutative property. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers is changed. For instance, 4 + 5 equals 9, and 5 + 4 equals 9.According to the Commutative Property of Addition, rearranging the addends has no impact on the sum.
a+b=b+aTherefore, the statement "according to the Commutative Property of Addition, ab = ba for all expressions a and b" is FALSE
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Which of the following correctly describes the end behavior of the polynomial
function, f(x) = 2x4 - 3x2 + 2x?
A. The left end goes up and the right end goes down.
B. Both ends go down.
C. Both ends go up.
D. The left end goes down and the right end goes up.
Answer:
both ends go up
Step-by-step explanation:
Rusty hiked 3 3/4 miles in the morning and 2 1/4 miles in the afternoon. How much
farther did he hike in the morning than the afternoon?
Answer:
1 [tex]\frac{1}{2}[/tex] miles
Step-by-step explanation:
Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions
Subtract them like a regualr equation
[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]
Convert [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]
A deposit of $225 as an integer
Answer:
225
Step-by-step explanation:
A deposit is positive, so a deposit of $225 as an integer (number) would be 225I hope this helps!
While printing material from the Internet, Greg used 10 pages of paper from a package of 500 sheets of paper. What percent of the paper did he use?
Answer:
2%
Step-by-step explanation:
The percentage of paper used is 2%
Convert days to weeks by completing the number sentence. 35 days=
Answer:
5 weeks
Step-by-step explanation:
35 divided by 7 is 5
find the factorization of the polynomial below 49x2+70+25
Answer:
(7x + 5) (7x+5)
Step-by-step explanation:
Hope this helps
Jana ran the first 312 miles of a 5-mile race in 13 hours. What was her average rate, in miles per hour, for this first part of the race? Explain how you solved the problem.
Answer:
speed = distance / time
Jana's speed is
speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h
WILL MARK BRAINLIEST!!
Answer:
only p(x)
Step-by-step explanation:
The others have a restricter domain
Please answer ASAP I have 15 min help
Answer:
32
Step-by-step explanation:
she was supposed to divide and multiply first and then add those answers
6+6+20=32
NEED HELP! GIVING BRAINLIEST!
A transformation is given by the rule (x,y) → (x +3, y - 8). Which of the following describes the effect of this transformation on an object
A a translation by 8 units left and 3 units up
B a rotation by 90 counterclockwise about the origin
C a translation by 3 units right and 8 units down
D a reflection across the line 2 = 3
Answer:
3
Step-by-step explanation:
Answer:
C a translation by 3 units right and 8 units down
Step-by-step explanation: This answers the Unit 3 summative assessment N-gen Math
Larry ordered 5 1/2 subs. He wants to share the subs with 4 friends and himself. Larry thinks they will each
receive 1 1/4 subs. Is Larry correct? Why or why not?
Jace and his children went into a bakery and he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. He bought twice as many cookies as brownies. Graphically solve a system of equations in order to determine the number of cookies, x,x, and the number of brownies, y,y, that Jace bought.
Answer:
(9, 18) (3, 6) Plz correct me if wrong
Step-by-step explanation:
Jace bought 4 cookies and 2 brownies from the bakery.
Let x represent the number of cookies and y represent the number of brownies.
Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:
0.75x + 3y = 9 (1)
Also, he bought twice as many cookies as brownies, hence:
x = 2y
x - 2y = 0 (2)
Solving equation 1 and 2 simultaneously gives x = 4, y = 2
Hence Jace bought 4 cookies and 2 brownies from the bakery.
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Find the value of x.
(8x+19)(9x+9)
Please give step by step
SOLUTION STEPS
(8x+19)(9x+9)
Apply the distributive property by multiplying each term of 8x+19 by each term of 9x+9.
72x 2 +72x+171x+171
Combine 72x and 171x to get 243x.
72x 2 +243x+171
hopefully my weird explanation helped
explain how to find 45% of a number
A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.